In a garden man has to pick some flowers ans has to pass thru 3 doors. Each door has a guard. Man has to give half of the flowers he had to the guard and in return guard returns the man him one flower back. how many flower should man pick so that at the end he is left with same number of lowers he has picked?

• 2 flowers.
  
  He gave 2/2 = 1 flower to each gaurd and got same one back each time.
• 12 years agoHelpfull: Yes(5) No(1)
• suppose man pick up x flowers.
  He gives half flowers he had to guard and guard in return gives 1 flower to man.
  so,
  after 1st door remained flowers towards guard=(x/2)+1
  i.e(x+2)/2
  
  after 2nd door remained flowers towards guard=[(x+2)/4]+1
  
  after 3rd door remained flowers towards guard=[(x+6)/8]+1
  i.e.(x+14)/8
  at the end he is left with same number of flowers he has picked.
  so(x+14)/8=x
  8x-x=14
  x=2
  Hence he should pick up 2 flowers.
  
• 11 years agoHelpfull: Yes(2) No(0)
• Wine Left Formula: Pt=Pi((a-b)/a)^n
  
  x=x((x-x/2)/x)^3
  x=x(x/2)^3
  8=x^3
  x=2
• 11 years agoHelpfull: Yes(0) No(0)